一个新的EWMA图表,用于同时监测转移指数分布的参数
Amita Baranwal1, Nirpeksh Kumar2, Kashinath Chatterjee3
1Department of Mathematics, Lovely Professional University, Phagwara, India.
Journal of applied statistics
|January 15, 2025
概括
本研究引入了新的质量控制图表,Max-EWMA,Max-DEWMA和Max-TEWMA,用于监测产品保修中的移动指数 (SE) 分布参数. 马克斯-EWMA SE图表在稳定状态中表现出色,而马克斯-TEWMA最适合早期检测.
科学领域:
- 统计过程控制 统计过程控制
- 质量工程 质量工程
- 可靠性工程可靠性工程
背景情况:
- 转移指数分布 (SE) 对于建模时间到事件数据至关重要,特别是在保修分析中.
- 现代制造业中的产品质量通常通过SE分布参数的变化来评估.
- 有效监测这些参数对于确保产品可靠性和客户满意度至关重要.
研究的目的:
- 引入Max-EWMA图表,以使用最大概率估计器共同监测SE分布参数.
- 开发Max-DEWMA和Max-TEWMA图表,以提升对参数转移的早期检测.
- 为了评估和比较这些新的图表与现有的Max-CUSUM图表的性能.
主要方法:
- 开发了Max-EWMA,Max-DEWMA和Max-TEWMA的控制图表.
- 使用最大概率估计器和指数加权移动平均 (EWMA) 统计数据.
- 在零状态和稳定状态条件下,基于运行长度 (RL) 分布指标 (预期值和标准偏差) 的性能评估.
主要成果:
- 与其他Max-EWMA变体相比,Max-EWMA SE图表显示了优越的稳定状态性能.
- 马克斯-TEWMA图表显示了比马克斯-EWMA和马克斯-DEWMA SE图表更好的零状态性能.
- 拟议的Max-EWMA方案与Max-CUSUM图表相比具有优势,特别是具有小到中等的光滑常数.
结论:
- 拟议的Max-EWMA,Max-DEWMA和Max-TEWMA图表是监测质量控制中SE分布参数的有效工具.
- 在Max-EWMA SE和Max-TEWMA之间做出选择取决于是否优先考虑稳定状态或早期检测.
- 这些图表为现有方法提供了有价值的替代方案,特别是在涉及保修数据和转移指数分布的应用中.
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